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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2020, Volume 23, Number 4, Pages 457–470
DOI: https://doi.org/10.15372/SJNM20200408 (Mi sjvm760) 		 
Sensitivity of functionals of the solution of a variational data assimilation problem with simultaneous reconstruction of heat fluxes and the initial state for the sea thermodynamics model

V. P. Shutyaev, E. I. Parmuzin

Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.15372/SJNM20200408
Abstract: For the mathematical model of the sea thermodynamics, developed at the Institute of Numerical Mathematics of the Russian Academy of Sciences, the problem of variational data assimilation is considered, aimed at simultaneous reconstruction of the sea surface heat flux and the initial state of the model. The sensitivity of functionals with respect to observational data in the considered problem of variational assimilation is studied, and the results of numerical experiments for the model of the Baltic Sea dynamics are presented.
Key words: variational data assimilation, optimal control, adjoint equations, covariance matrices, sensitivity of functionals, sea thermodynamics model.
Funding agency Grant number
Russian Science Foundation 19-71-20035
Russian Foundation for Basic Research 18-01-00267
This work was supported by the Russian Science Foundation (project no.  19-71-20035, for Sections  2 and 3) and RFBR (project no.  18-01-00267, for the numerical calculations).
Received: 11.06.2019
Revised: 25.12.2019
Accepted: 16.07.2020
English version:
Numerical Analysis and Applications, 2020, Volume 13, Issue 4, Pages 382–392
DOI: https://doi.org/10.1134/S1995423920040084
Bibliographic databases:
Document Type: Article
UDC: 519.6, 551.46
Language: Russian
Citation: V. P. Shutyaev, E. I. Parmuzin, “Sensitivity of functionals of the solution of a variational data assimilation problem with simultaneous reconstruction of heat fluxes and the initial state for the sea thermodynamics model”, Sib. Zh. Vychisl. Mat., 23:4 (2020), 457–470; Num. Anal. Appl., 13:4 (2020), 382–392
Citation in format AMSBIB
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\by V.~P.~Shutyaev, E.~I.~Parmuzin
\paper Sensitivity of functionals of the solution of a variational
data assimilation problem with simultaneous reconstruction of heat fluxes and the initial state
for the sea thermodynamics model
\jour Sib. Zh. Vychisl. Mat.
\yr 2020
\vol 23
\issue 4
\pages 457--470
\mathnet{http://mi.mathnet.ru/sjvm760}
\crossref{https://doi.org/10.15372/SJNM20200408}
\transl
\jour Num. Anal. Appl.
\yr 2020
\vol 13
\issue 4
\pages 382--392
\crossref{https://doi.org/10.1134/S1995423920040084}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000600885900008}
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